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Finding the Third Proportional to 50,223 and 73,822

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Solution

The third proportional to 50,223 and 73,822 is: 108,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223 : 73,822 = 73,822 : x
  2. Step 2: Convert to fraction form
    50,223/73,822 = 73,822/x
  3. Step 3: Cross multiply
    50,223x = 73,822 × 73,822
  4. Step 4: Simplify right side
    50,223x = 5,449,687,684
  5. Step 5: Solve for x
    x = 5,449,687,684/50,223
  6. Step 6: Final answer
    x = 108,509.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.